{"cells":[{"cell_type":"markdown","metadata":{},"source":["# Lorentz lineshape"]},{"cell_type":"markdown","metadata":{},"source":["<i>© Von P. Walden, Washington State University</i>"]},{"cell_type":"markdown","metadata":{},"source":["This notebook calculates the Lorentz lineshape and its dependency on pressure and temperature. It follows section 3.4 in *Satellite Meteorology* by Kidder and Vonder Haar."]},{"cell_type":"markdown","metadata":{},"source":["1. rd_lnfl.py is a function to read the HITRAN database and is saved in /Users/vonw/work/software/lnfl/rd_lnfl.py.\n","\n","2. Explanations for the columns in the HITRAN database files (2004-2012) can be found at: https://hitran.org/docs/definitions-and-units/\n","\n","3. Constants used by HITRAN: h = 6.62606957 × 10^(−27) ergs , c = 2.99792458 × 10^(10) cm s−1, k = 1.3806488 × 10^(−16) erg K−1, c2 = 1.4387770 cm K."]},{"cell_type":"code","execution_count":1,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":"Populating the interactive namespace from numpy and matplotlib\n"}],"source":["%pylab inline\n","import pandas as pd"]},{"cell_type":"code","execution_count":2,"metadata":{},"outputs":[],"source":["# From the HITRAN 2012 database for CO2 between 650 and 850 cm-1 (about 12-15 um).\n","# ....Calculations from https://hitran.org/docs/definitions-and-units/\n","Pref = 1.    # atm\n","Tref = 296.0 # Kelvin\n","hitran = pd.DataFrame({'Vij':   [667.400517, 700.008330, 750.017090, 800.004796, 850.018520],\n","                       'Sij':   [1.300e-19,  1.350e-29,  5.050e-31,  2.750e-26,  9.040e-30 ],\n","                       'Gair':  [0.0863,     0.0663,     0.0612,     0.0643,     0.0630    ],\n","                       'Gself': [0.1190,     0.0750,     0.0630,     0.0680,     0.0650    ],\n","                       'Nair':  [0.74,       0.77,       0.68,       0.73,       0.71      ],\n","                       'Pshift':[-0.000431,  -0.000895,  -0.000846,  -0.000998,  -0.001103 ]})"]},{"cell_type":"code","execution_count":3,"metadata":{},"outputs":[],"source":["# Set the atmospheric temperature and pressure, then determine the partial pressure of CO2.\n","P = 0.7                    # atm (about 700 mb; lower troposphere)\n","T = 260.                   # Kelvin (just a guess of T at 700 mb)\n","Pself = P * 0.00004        # Assuming CO2 is 400 ppm in the atmosphere"]},{"cell_type":"code","execution_count":4,"metadata":{},"outputs":[],"source":["# Temperature and pressure dependenc of the line width\n","hitran['G'] = (Tref/T)**(hitran.Nair) * (hitran.Gair*(P-Pself) + hitran.Gself*Pself)"]},{"cell_type":"code","execution_count":5,"metadata":{},"outputs":[],"source":["# Pressure shift correction of line position\n","hitran['vij'] = hitran.Vij + hitran.Pshift*P"]},{"cell_type":"code","execution_count":6,"metadata":{},"outputs":[{"data":{"text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Vij</th>\n      <th>Sij</th>\n      <th>Gair</th>\n      <th>Gself</th>\n      <th>Nair</th>\n      <th>Pshift</th>\n      <th>G</th>\n      <th>vij</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>667.400517</td>\n      <td>1.300000e-19</td>\n      <td>0.0863</td>\n      <td>0.119</td>\n      <td>0.74</td>\n      <td>-0.000431</td>\n      <td>0.066495</td>\n      <td>667.400215</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>700.008330</td>\n      <td>1.350000e-29</td>\n      <td>0.0663</td>\n      <td>0.075</td>\n      <td>0.77</td>\n      <td>-0.000895</td>\n      <td>0.051284</td>\n      <td>700.007704</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>750.017090</td>\n      <td>5.050000e-31</td>\n      <td>0.0612</td>\n      <td>0.063</td>\n      <td>0.68</td>\n      <td>-0.000846</td>\n      <td>0.046789</td>\n      <td>750.016498</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>800.004796</td>\n      <td>2.750000e-26</td>\n      <td>0.0643</td>\n      <td>0.068</td>\n      <td>0.73</td>\n      <td>-0.000998</td>\n      <td>0.049479</td>\n      <td>800.004097</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>850.018520</td>\n      <td>9.040000e-30</td>\n      <td>0.0630</td>\n      <td>0.065</td>\n      <td>0.71</td>\n      <td>-0.001103</td>\n      <td>0.048353</td>\n      <td>850.017748</td>\n    </tr>\n  </tbody>\n</table>\n</div>","text/plain":"          Vij           Sij    Gair  Gself  Nair    Pshift         G  \\\n0  667.400517  1.300000e-19  0.0863  0.119  0.74 -0.000431  0.066495   \n1  700.008330  1.350000e-29  0.0663  0.075  0.77 -0.000895  0.051284   \n2  750.017090  5.050000e-31  0.0612  0.063  0.68 -0.000846  0.046789   \n3  800.004796  2.750000e-26  0.0643  0.068  0.73 -0.000998  0.049479   \n4  850.018520  9.040000e-30  0.0630  0.065  0.71 -0.001103  0.048353   \n\n          vij  \n0  667.400215  \n1  700.007704  \n2  750.016498  \n3  800.004097  \n4  850.017748  "},"execution_count":6,"metadata":{},"output_type":"execute_result"}],"source":["hitran"]},{"cell_type":"markdown","metadata":{},"source":["## Absorption near band center at 667 cm-1"]},{"cell_type":"code","execution_count":7,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":"Absorption Coefficient is:  1.2447713729049854e-23  m2\n"},{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAscAAAGDCAYAAADH173JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdeZhcVZ3/8c+3qqu7eu900ulOZ98IBIEAAWRRElRcBkXEHRVX1FF/jjM6MzqLo+PozLiN4zgjKOK4oqKMAi7gEjaRJQQCJBCSkHSSTnfS6fS+VtX5/XFvdSqd3ird1beW9+t56qmqe2/d+62T7sqnTp97rjnnBAAAAEAKBV0AAAAAkC0IxwAAAICPcAwAAAD4CMcAAACAj3AMAAAA+AjHAAAAgI9wDGDGmZkzs1VB1yFJZnaNmd05A/v5upn9wwTrs+Y9AwBOHuEYgMzszWb2iJn1mNlBM/uVmV0SdF2TMbNvm9mQmXX7tyfN7HNmVp3cxjn3fefc5dM9lnPufc65f57uftJlZnvM7MWTbFNmZv9tZm1m1mlm94xaf46Z3eP/+7aa2Yf95Uv8Zak3Z2Z/Ncnxis3saTPbP2r5MjP7g5n1+etfPGr9m81sr5n1mtn/mVltyrovmNmz/r/j02b2tlGvvcHMnjGzhJm9fdS6t5tZfNT72JCy/nv+z3WXme0ws3dP9P4yxcxeb2Z/9NtnUxA1AJgc4RgocGb2l5L+Q9JnJdVLWiLpvyVdeRL7KprZ6qbk351zlZLqJL1D0vMl3W9m5QHUEpQbJNVKOs2//0hyhZnNk/RrSddLmitplaQ7Jck51+Scq0jeJJ0hKSHpp5Mc72OSDo2x/IeStvjH+TtJt5hZnV/H6X4Nb5X3c9Yn7+csqVfSKyVVS7pW0lfM7KKU9Y9L+nNJj45T0wOp78U5tyll3eckLXPOVUl6laTPmNm5k7zHTGiX97v2rwEcG8AUEY6BAub3sH5a0geccz9zzvU654adc7c55z7mb3O+mT1gZh1+79t/mVlxyj6cmX3AzJ6V9GzK7l9hZrv93szPm1nI3z5kZn/v9yAeMrPvJHt6/Z5HZ2bXmlmT/9q/m8p7cc4NOOcelhd+5soLyslexftS6r3IzB72e1gfTgYwM6s1s/1m9kr/eYWZ7Uz2YPq91J9J2c/H/PZoNrN3jmrXEr8ntMnvqf26mZWO82+w0sx+b2ZH/Pf7fTOr8dd9V96Xldv83tC/HuP1a/z3fJ1z7rBzLu6c25yyyV9K+o3fgz7onOt2zm0fpxnfJuke59ye8drZzJZLeou8wJm6/BRJ50j6pHOu3zn3U0lPSLra3+QaSbc55+5xzvVI+gdJrzGzSklyzn3SOfe0cy7hnHtQ0r2SLkzu3zn3Nefc7yQNjFfbeJxzTznnBpNP/dvKCd7je8xsu9+Lvc3MzvGX7/H/3bf6vd83mlm9eX9p6Taz35rZnAnq+K1z7seSmtN9DwBmD+EYKGwXSopKunWCbeLyeiLn+du/SF4PXqpXS7pA0tqUZVdJWi8vMF0pKRkg3+7fNkpaIalC0n+N2t8lktb4x/pHMzttqm/IOdct6S5JLxi9zv8z/h2S/lNegP6SpDvMbK5zrt2v8RtmNl/SlyU95pz7zhj7eZmkj0p6iaTVkkYPe/g3SadIWievp3ahpH8cp2STFzQb5fX8Lpb0T/57eaukJkmv9HtD/32M118gaa+kT/nh+gkzuzpl/fMltft/zj9kZreZ2ZJxanmbpP8dZ13SVyV9QlL/qOWnS9rtt3/S4/7y5PrHkyucc7skDclrp+P4XyTOk/TUJLWkOtt//zvM7B9G/xXDvGEnfZKelnRQ0i/H2omZvU5e+79NUrKn+UjKJlfL+3c/RV5P96/ktcc8ef+n/r80agaQhQjHQGGbK6nNORcbbwPn3Gbn3J+cczG/R/F6SZeO2uxzzrl251xqYPo3f1mTvD8lv8lffo2kLznndvs9iB+X9MZRYeZTfu/j4/IC1Vlpvq9mecMLRvszSc86577rv58fygtLr/Tf652SfiLpd/627x1n/6+XdJNz7knnXK/8MCtJZmaS3iPpI/7775Y3ZOWNY+3IObfTOXeX36t7WF5gH92+E1kk6XmSOuUF7A9K+t+ULxSL5A1T+LC8Xujn5A1/OI6ZvUDecIdbxjuQmV0lqcg5N9aXqQq/hlSdkiqnuD7V1+X9u/9mvFpGuUdeG8yXF17fJG/oxwjn3J/7x3qBpJ9JGtTY3i1vqM7DzrPTObc3Zf1XnXOtzrkD8nq3H3TObfF7pm+VdPYUawaQpQjHQGE7ImneRGOFzewUM7vdzFrMrEte0Js3arN9Y7w0ddleecFN/v3eUeuK5AWzpJaUx33yglU6Fsob3zna6GMnj78w5fkN8oLWTc65Ixpbo058f0l1ksokbfaHonTIG/NbN9aOzGy+md1sZgf89v2eTmzfifRLGpb0GefckHPubkl/kHR5yvpb/bA3IOlTki6ylJMWfddK+qn/hWWsOssl/bukD41TR4+8ntZUVZK6p7g+eZzPy2v/1zvn3DjHOo7/Res5f0jGE/KGCr12jO3izrn75H1heP84u1ssadcEh2tNedw/xvMK/3183Y6dHPiJqbwPANmBcAwUtgfkjeF89QTb/I+83tXV/glNn5A3FCDVWCFmccrjJTo2zrJZ0tJR62I6PmScNDOrkDfM4d4xVo8+dvL4B/zXhuX1jH9H0vtt/KnZDurE95fUJi8kne6cq/Fv1f4Jb2P5nLz2O9Nv37fo+PadLCBuncL61H0kH48cwx/G8DpNPKRitaRlku41sxZ5va8L/C9Ny+QNgViRHEPsO0vHhkY8pZS/AJjZCkklknakLPuUpJdLutw51zXJ+5qI04k/o6mKNP6Y430TrJt6Ad7sJsmTAz873f0BmD2EY6CAOec65Y2F/ZqZvdq8KcEiZvZyM0uOb62U1CWpx8xO1fg9bqN9zMzmmNlieX/S/5G//IeSPmJmy/0g+1lJP5poaMdU+CfBnSvp/yQdlXTTGJv9UtIp5k0pVmRmb5A3Tvp2f32yh++dkr4g6Tt+YB7tx5LebmZrzaxM0ieTK5xzCUnfkPRlf+yyzGyhmb10nNIr5fWqdpjZQo0aDiDvS8OKCd76PfLGJX/cf08XS9qgY0MSbpJ0lZmtM7OIvBPh7nPOdaTs4ypJHfJ6nMfzpLwvBOv827v92tZJ2uec2yHpMUmfNLOoPwTjTB2b+eL7kl5pZi/we6E/LelnyTHKZvZxSW+W9JKxeuzNmz4uKi/0RvxjJE/yfLmZ1fuPT/Xf48/95/PN7I3mnWAZ9v8d3iTp9+O8z29K+qiZnWueVWY2+gvVSfGPH5UXzkP+e4jMxL4BzCDnHDdu3Ar8Jm8c8CPyptNqkXfS2kX+uhfK6znukdcb+2l54Sr5Widp1aj9OXknJu2WN3Tji5LC/rqQvEC+T9JhecMI5vjrlvmvLUrZ1yZJ7x6n7m/LO6mr26/9KXknw9WkbPP2UfVeImmzvPGumyVd4i8/V16oXuU/D0u6X9LfpRzrMyn7+Vu/rZrlhWmX8tqovNC/W94Xi+2S/t847+F0v44eeeHyryTtT1l/pbzw2yHpoxPs4wG/DbZJumrU+vfL6x0/Kuk2SYtHrf+NpH8eY78vkNQzzjE3pNaZ8u+3SV7P+TOSXjxq/Zv999IrL7zWjvqZGfTbIXn7xKifAzfqtsFf9wV5Qb3Xb/NPS4r46+ok3e23X5e8GTTeM8nvw/v8+nvkfSk421++J/U9yfvZ/aeU5++W9NsJ9vv2Md7Dt4P+/efGjdvxN3NuSkO6AAAAgLzHsAoAAADARzgGAAAAfIRjAAAAwDfu3KYzwcz2yDtRJi4p5pxbn8njAQAAANOR0XDs2+ica5uF4wAAAADTMhvheMrmzZvnli1bFnQZs6q3t1fl5eVBl5EzaK/00F7po83SQ3uljzZLD+2VPtpscps3b25zzo155dJMh2Mn6U4zc5Kud87dMHoDM7tO0nWSVF9fry984QsZLim79PT0qKIi3SvjFi7aKz20V/pos/TQXumjzdJDe6WPNpvcxo0b9463LqPzHJtZo3Ou2b9K1F2SPuScu2e87devX+8eeeSRjNWTjTZt2qQNGzYEXUbOoL3SQ3uljzZLD+2VPtosPbRX+mizyZnZ5vHOhcvobBXOuWb//pCkWyWdn8njAQAAANORsXBsZuVmVpl8LOlyeZfhBAAAALJSJscc10u61cySx/mBc+7XGTweAAAAMC0ZC8fOud2SzsrU/gEAAICZxhXyAAAAAB/hGAAAAPARjgEAAAAf4RgAAADwEY4BAAAAH+EYAAAA8BGOASDHHejoV0ffUNBlAEBeIBwDQA4bGI7ryv+6X+//3qNBlwIAeYFwDAA57Ceb96utZ1AP7D6iLU1Hgy4HAHIe4RgAclQsntA37tmttQuqVBUt0tfv3hV0SQCQ8wjHAJCjfv1Ui5ra+/Shy1bpbRcu053bWrXrcE/QZQFATiMcA0AOcs7p63fv0vJ55br89Aa9/eJlKg6H9I17dgddGgDkNMIxAOSg+3ce0ZMHunTdC1coHDLNqyjR69Yv0s8ePaBDXQNBlwcAOYtwDAA56Pp7dqmuskRXnb1wZNl1L1ipWCKhb92/J7jCACDHEY4BIMcMxxP60+4juurshYpGwiPLl8wt04Ur5+q+nYcDrA4AchvhGAByzJ62Xg3HnU5bUHnCulMbqrTzUI8SCRdAZQCQ+wjHAJBjdrR6M1Ksnn9iOD6lvkIDwwntO9o322UBQF4gHANAjtnR2q2QSavmV5ywbnV9pb8NU7oBwMkgHANAjtnR2q2lc8uPG2+ctNoPzDtau2e7LADIC4RjAMgxO1q7R0LwaJXRiBbWlBKOAeAkEY4BIIcMxuLac6RPp9SfON44aXV9BcMqAOAkEY4BIIc819areMJpdf3YPceSdEp9pXYd7lGcGSsAIG2EYwDIIcke4Ql7judXaCiW0N4jvbNVFgDkDcIxAOSQHS3dCodMK+rKx91mTUNyxgrGHQNAugjHAJBDdrR2a9ncMpUUnThTRdKqkRkrGHcMAOkiHANADnn2UM+EQyokqay4SItrmbECAE4G4RgAcsTAcFx7j/SOXOhjIqfMr9Sz9BwDQNoIxwCQI3Ye6lHCeZeInszq+krtbuvRcDwxC5UBQP4gHANAjnj2kDdMYs0Ueo7XNFRoOO60p40ZKwAgHYRjAMgRO1p7FAmbls0bf6aKpNXzkzNWMLQCANJBOAaAHPFsa7eWzytXJDz5R/eq+RUKGdO5AUC6CMcAkCN2tPZM6WQ8SYpGwlpSWzYyFAMAMDWEYwDIAUOxhPYd7dPKuslPxktaWVeh3YcZcwwA6SAcA0AOaOkckHPSoprSKb9m4ZxSHejoz2BVAJB/CMcAkAOSIXfhnDTCcU2pugdi6hoYzlRZAJB3CMcAkAOS4bgxjZ7j5LbN9B4DwJQRjgEgByQD7oLq6JRfk+xlJhwDwNQRjgEgBxw42q95FSWKRsJTfs1Cv+f4wFHCMQBMFeEYAHJAc2d/WuONJamuokSRsOlAx0CGqgKA/EM4BoAccOBovxbWTH1IhSSFQqYF1cxYAQDpIBwDQJZzzulAR//IMIl0LKwpZcwxAKSBcAwAWe5I75AGY4m0ZqpIaqwpZcwxAKSBcAwAWS7Z83tSPcdzStXaPaDheGKmywKAvEQ4BoAsl+z5PZme44U1UTnnXWEPADA5wjEAZLnkCXWL0pytQpIW1pQdtw8AwMQIxwCQ5Q509KusOKzq0kjar230Z7hg3DEATA3hGACyXLM/U4WZpf1aLiENAOkhHANAljvQ0X9S440lKRoJa15FMcMqAGCKCMcAkOWaOwbSvjpeqoU1XAgEAKaKcAwAWaxvKKb23qGTmsYtqZFwDABTRjgGgCzW3OFNwTadcJy8Sp5zbqbKAoC8RTgGgCyW7PE92THHydcODCfU3js0U2UBQN4iHANAFktOwTatMcf+axlaAQCTy3g4NrOwmW0xs9szfSwAyDfNHf0Kh0z1lSUnvY+FTOcGAFM2Gz3HH5a0fRaOAwB550BHvxqqoioKn/zHdTIc7+dCIAAwqYyGYzNbJOnPJH0zk8cBgHzlzXEcndY+asoiKo2ER07uAwCMzzJ59rKZ3SLpc5IqJX3UOXfFGNtcJ+k6Saqvrz/35ptvzlg92ainp0cVFRVBl5EzaK/00F7py7Y2+6tNfTplTkjvPWt6AfkT9/ZpQUVIHzp7evsZLdvaKxfQZumhvdJHm01u48aNm51z68daV5Spg5rZFZIOOec2m9mG8bZzzt0g6QZJWr9+vduwYdxN89KmTZtUaO95Omiv9NBe6cumNosnnDru/JXOXrNMGzacOq19rdr9kNp7B7VhwwtmqDpPNrVXrqDN0kN7pY82m55MDqu4WNKrzGyPpJslXWZm38vg8QAgr7T1DCqecFowjWnckhqro2rpHJyBqgAgv2UsHDvnPu6cW+ScWybpjZJ+75x7S6aOBwD55mCnN0Z4QdX0h0I0VEfV1jOooVhi2vsCgHzGPMcAkKVa/HDcUD0D4dgP2Ie6OSkPACYyK+HYObdprJPxAADja+3ygmz9DPQc1/sBO7lPAMDY6DkGgCx1sHNAkbBpbnnxtPe1wA/HyaEaAICxEY4BIEu1dg1ofmVUoZBNe1/JYRUthGMAmBDhGACy1MHO/hkZbyxJ1aURlRSFCMcAMAnCMQBkqdauwRkLx2amBdVRtTDmGAAmRDgGgCzknFNL58DIcIiZUF8V5YQ8AJgE4RgAslBXf0z9w/GRE+lmwoLqKCfkAcAkCMcAkIVaZnAat6T66qgOdQ0qkXAztk8AyDeEYwDIQgc7+yXNzAVAkhqqohqKJ9TeNzRj+wSAfEM4BoAslBwbPJNjjpNDNJixAgDGRzgGgCzU0jkoaYaHVVRxlTwAmAzhGACyUEtXv+aWF6u4aOY+phu4Sh4ATIpwDABZqKVzYEbHG0tSXUWJQkbPMQBMhHAMAFmopWtwRscbS1JROKS6yhLGHAPABAjHAJCFWmbw0tGpGqpLuUoeAEyAcAwAWWZgOK6jfcMz3nMsSQ1V9BwDwEQIxwCQZZJjgusz0XNcFSUcA8AECMcAkGWS4XUmLx2d1FBdqu7BmHoHYzO+bwDIB4RjAMgyLRm4AEhSQ3XJcccAAByPcAwAWSbZc5yJYRXJC4EwtAIAxkY4BoAs09I1oPLisCpLimZ83wuqS71jEI4BYEyEYwDIMq1dA6qvjsrMZnzfyaEaDKsAgLERjgEgyxzsHMjIyXiSVFocVnVphJ5jABgH4RgAskxr58DI2OBMaKiK0nMMAOMgHANAFoknnFq7Z/7S0anqq5nrGADGQzgGgCxypGdQ8YTL2LAKSVpAzzEAjItwDABZJBlaMzmsor46qraeQQ3HExk7BgDkKsIxAGSRg/5wh4YM9hw3VEXlnHSoezBjxwCAXEU4BoAs0tqV+XCcHLLBuGMAOBHhGACySEvngIpCpnnlJRk7RnLIRivjjgHgBIRjAMgiLf40bqHQzF8AJCnZc3yQnmMAOAHhGACySEvXgOqrMtdrLEk1ZREVF4XoOQaAMRCOASCLtHQOZHS8sSSZmRqqovQcA8AYCMcAkCWcc2rpGlBDVWnGj9VQHVUr4RgATkA4BoAs0T0YU99QXA3VmR1WIXEJaQAYD+EYALJEcmq1TF4AJKmh2gvHzrmMHwsAcgnhGACyRDIcL6iehWEVVVENxRI62jec8WMBQC4hHANAlkgOc2iYpZ5jiQuBAMBohGMAyBLJoDo/w1O5SSnhuKs/48cCgFxCOAaALNHSNaDa8mJFI+GMHyvZO93SOZjxYwFALiEcA0CWSF4dbzbUVZbITGrppOcYAFIRjgEgS7R0Doxc2jnTIuGQ6ipKmM4NAEYhHANAlmjtmr2eYyk5nRvDKgAgFeEYALLAYCyuI71Ds9ZzLPkXAmFYBQAch3AMAFngkN+DOxvTuCU1VEeZyg0ARiEcA0AWSI79rZ/FnuP6qqi6BmLqG4rN2jEBINsRjgEgCxwcuTre7IXjBVwIBABOQDgGgCzQ6gfUWT0hLznXMTNWAMCIKYVjM1tqZi/2H5eaWWVmywKAwnKwc0ClkbCqokWzdsx6eo4B4ASThmMze4+kWyRd7y9aJOn/MlkUABSa1i5vjmMzm7Vj0nMMACeaSs/xByRdLKlLkpxzz0qan8miAKDQtMzyHMeSVF5SpMpo0ciQDgDA1MLxoHNuKPnEzIokucyVBACFZzavjpdqQXV05GRAAMDUwvHdZvYJSaVm9hJJP5F0W2bLAoDCkUg47+p4AYTj+qqoWhlWAQAjphKO/1bSYUlPSHqvpF9K+vtMFgUAhaStd1CxhJvVC4AkNVTRcwwAqSY9Ldo5l5D0Df82ZWYWlXSPpBL/OLc45z55MkUCQD5LzhbREMSwippSHe4Z1HA8oUiY2T0BYNxwbGZPaIKxxc65MyfZ96Cky5xzPWYWkXSfmf3KOfenkysVAPJTc0e/JGlhTemsH3thTVTOeQF9cW3ZrB8fALLNRD3HV0xnx845J6nHfxrxb5zIBwCjHOjweo6DCMeN/jGbO/oJxwCgCcKxc27vdHduZmFJmyWtkvQ159yD090nAOSb5o5+lUbCqimLzPqxR8JxZ/+sHxsAspF5HbxjrDC7zzl3iZl16/geX5PXMVw15YOY1Ui6VdKHnHNPjlp3naTrJKm+vv7cm2++Oc23kNt6enpUUVERdBk5g/ZKD+2VviDa7L+2DOhAT0Kfe8Hs99wOxp3ee1efrl4d0StXFqf9en7G0kebpYf2Sh9tNrmNGzduds6tH2vdRMMq3iZJzrlpXyraOddhZpskvUzSk6PW3SDpBklav36927Bhw3QPl1M2bdqkQnvP00F7pYf2Sl8QbfblJ+/TqsaINmy4YFaPm1T7x7tUUtugDRvOSPu1/IyljzZLD+2VPtpseiY6NfknkmRmvzuZHZtZnd9jLDMrlfRiSU+fzL4AIJ8d6BgIZLxxUmNNdOSkQAAodBP1HIfM7JOSTjGzvxy90jn3pUn2vUDS//rjjkOSfuycu/3kSwWA/DMwHFdbz+DI2N8gNFaXas+R3sCODwDZZKJw/EZJr/a3SXtohXNuq6SzT7IuACgIyTmOAw3HNaW6f2ebnHMys8DqAIBsMNFsFc9I+jcz2+qc+9Us1gQABSM5nKGxZvYvAJK0sKZUvUNxdQ3EVF06+zNmAEA2mcrlkP5oZl8ys0f82xfNrDrjlQFAATgQ4AVAklLnOgaAQjeVcPwtSd2SXu/fuiTdlMmiAKBQNHcEd+nopGSvNeEYACYec5y00jl3dcrzT5nZY5kqCAAKSXNHv+oqS1RSFA6shoX0HAPAiKn0HPeb2SXJJ2Z2sSQ+QQFgBjR39gd6Mp4kzasoUXE4NHIZawAoZFPpOX6fpO+kjDM+KunazJUEAIXjQEe/Tm2Y9rWWpiUUMi1grmMAkDRJODazkKQ1zrmzzKxKkpxzXbNSGQDkOeecmjv6ddma+UGXosbqUsIxAGiSYRXOuYSkD/qPuwjGADBzjvYNa2A4EfiwCsmbsYJwDABTG3N8l5l91MwWm1lt8pbxygAgzx2b4zj4cLywJqqWrgHF4omgSwGAQE1lzPE7/fsPpCxzklbMfDkAUDiyYY7jpMaaUiWc1No9mBX1AEBQJg3Hzrnls1EIABSabLg6XlLqhUAIxwAK2bjDKsxstZn93MyeNLMfmtnC2SwMAPJdc0e/SopCqi0vDroUrpIHAL6Jxhx/S9Ltkq6W9Kikr85KRQBQIJo7BrSwplRmFnQpI73XBwjHAArcRMMqKp1z3/Aff97MHp2NggCgUBzoCP4CIEllxUWaUxah5xhAwZsoHEfN7GxJyS6N0tTnzjnCMgBMQ3NHvzasqQu6jBGNNaU6cJRwDKCwTRSOD0r6UsrzlpTnTtJlmSoKAPLdYCyuQ92DWdNzLHnhuOlIX9BlAECgxg3HzrmNs1kIABSS1s5BSdkxx3HSwppS/WnXkaDLAIBATeUiIACAGbb/qNdDm03Tpi2sKVX3YEydfcNBlwIAgSEcA0AAmtq9cLyktizgSo5Z7NeSrA0AChHhGAAC0NTep6KQZdWwiqVzCccAMGk4Ns9bzOwf/edLzOz8zJcGAPmrqb1Pi+aUKhwKfo7jJHqOAWBqPcf/LelCSW/yn3dL+lrGKgKAAtDU3jcSRrNFRUmR5pYXE44BFLSphOMLnHMfkDQgSc65o5KCv9YpAOSwpva+rBpvnLS4tkxN7b1BlwEAgZlKOB42s7C8uY1lZnWSEhmtCgDyWGf/sDr6hrMyHC+pLaPnGEBBm0o4/k9Jt0qab2b/Iuk+SZ/NaFUAkMf2+eEzeQJcNllSW6bmjgENx+kDAVCYJrpCniTJOfd9M9ss6UXyLh39aufc9oxXBgB5KhmOs23MsSQtmVumeMLpYMeAlmRheAeATJs0HPueldSV3N7MljjnmjJWFQDksb3ZHI5TZqwgHAMoRJOGYzP7kKRPSmqVFJfXe+wknZnZ0gAgPzW192lOWURV0UjQpZxgCdO5AShwU+k5/rCkNc65I5kuBgAKwb72Pi2ZWx50GWOqr4qqOBzSXmasAFCgpnJC3j5JnZkuBAAKRbZO4yZJ4ZBp0ZzSkXHRAFBoptJzvFvSJjO7Q9JgcqFz7ksZqwoA8lQsntCBo/264swFQZcyrsVM5waggE0lHDf5t2Jx8Q8AmJaDnQOKJVzW9hxL3hRzW5qOBl0GAARiKlO5fWo2CgGAQtCUxTNVJC2pLVPXQEydfcOqLsu+kwYBIJPGDcdm9h/Oub8ws9vkXx0vlXPuVRmtDADyUNPIBUCy84Q86Vhwb2rv0xll1QFXAwCza6Ke4+/691+YjUIAoBA0tfcpEjY1VEWDLmVcySEfe9t7dcYiwjGAwjJuOHbObfbv7x69zsx+JOmE5QCAiTUd6dOiOWUKhyzoUsa1mLmOARSwqUzlNpYLZ7QKACgQTe19WT3eWJIqSoo0r6KY6dwAFKSTDccAgJPQ1N6npVkejiWmcwNQuHfNF+QAACAASURBVCY6Ie+c8VZJ4vRlAEhTZ9+wOvuHs3oat6QltWV6lOncABSgiU7I++IE656e6UIAIN/lwjRuSUtqy3T71oMajicUCfNHRgCFY6IT8jbOZiEAkO+eO9IrSVo2L/vD8dK55YonnPa192lFXUXQ5QDArKE7AABmya5DPTKTlmXxHMdJK+u8Gncd7g24EgCYXYRjAJgluw73aPGcMkUj4aBLmVSyt3jX4Z6AKwGA2UU4BoBZsutw70iPbLarLo2orrJEuw4RjgEUlknDsZn9zsxeMWrZDZkrCQDyTyLhtPtwj1bm0PjdlXXl9BwDKDhT6TleLulvzOyTKcvWZ6geAMhLBzr6NRhLaOX8XArHFdp1uFfOuaBLAYBZM5Vw3CHpRZLqzew2M6vOcE0AkHeSPbC51XNcoc7+YR3pHQq6FACYNVMJx+aciznn/lzSTyXdJ2l+ZssCgPySnPUhV8YcSxrp5WbcMYBCMpVw/PXkA+fctyW9XdKdGaoHAPLSrsM9qimLqLa8OOhSpozp3AAUoqmE40tSnzjnNovLRwNAWnYd8k7GM7OgS5myxupSRSMhTsoDUFCmEo5PT31iZmFJ52SmHADIT7k0jVtSKGRaMa+CcAygoIwbjs3s42bWLelMM+vyb92SDkm6bdYqBIAc19k3rLaewZw6GS9p5XzCMYDCMm44ds59zjlXKenzzrkq/1bpnJvrnPvbWawRAHLarrbcm6kiaWVdufYf7dfAcDzoUgBgVhRNtoFz7uNmtlDS0tTtnXP3TPQ6M1ss6TuSGiQlJN3gnPvK9MoFgNyTnO0hl+Y4TlpZVyHnpOfaenXagqqgywGAjJs0HJvZv0p6o6RtkpJdB07ShOFYUkzSXznnHjWzSkmbzewu59y26RQMALlm1+FeRcKmxXNKgy4lbcne7l2HewjHAArCpOFY0lWS1jjnBtPZsXPuoKSD/uNuM9suaaG8kA0ABWPX4R4tm1uuovBUzoHOLsvnlctM2slcxwAKxFQ+qXdrmlO3mdkySWdLenA6+wGAXLTrcE9OjjeWpNLisBbWlDLXMYCCYc65iTcw+6mksyT9TtJI77Fz7v9N6QBmFZLulvQvzrmfjbH+OknXSVJ9ff25N99885SLzwc9PT2qqMjN/zSDQHulh/ZK30y3WSzh9N67+vTy5RG99pTcuQBIqi8+MqDOQadPX3zisBB+xtJHm6WH9kofbTa5jRs3bnbOrR9r3VSGVfzCv6XNzCLyLjn9/bGCsSQ5526QdIMkrV+/3m3YsOFkDpWzNm3apEJ7z9NBe6WH9krfTLfZzkM9it95ty5bv1Ybzlk0Y/udTfd0b9MPHtqrF77wUoVCx1/EhJ+x9NFm6aG90kebTc9UZqv4XzMrlbTEOffMVHds3mWgbpS03Tn3pWnUCAA5KzlWN1eHVUjSyvnlGhhO6EBHvxbXlgVdDgBk1KRjjs3slZIek/Rr//k6M5tKT/LFkt4q6TIze8y/vWJa1QJAjnm6pUshk06prwy6lJN2aoM3S8XTLd0BVwIAmTeVYRX/JOl8SZskyTn3mJktn+xFzrn7JNlk2wFAPtvW3KVl88pVWhwOupSTdmpDpcy89/KStfVBlwMAGTWV2SpizrnOUcsmPosPACBJ2t7SpbU5Pj9weUmRls0t1/aDXUGXAgAZN5Vw/KSZvVlS2MxWm9lXJf0xw3UBQM7rGhjWvvb+vLh4xmkLKrWNcAygAEwlHH9I0unypnH7gaROSX+RyaIAIB88fdAbo5vrPceSdFpDlZra+9Q9MBx0KQCQUROOOTazsKRPOec+JunvZqckAMgP25q9EWlrG3M/HCffw9Mt3TpvWW3A1QBA5kzYc+yci0s6d5ZqAYC8sv1gt2rLizW/siToUqYtOTSEcccA8t1UZqvY4k/d9hNJI9cPHe+iHgAAT/JkPG/a99y2oDqqmrII4RhA3ptKOK6VdETSZSnLnCTCMQCMIxZP6OmWbl174dKgS5kRZqbTGqq0rZlwDCC/TeUKee+YjUIAIJ8819aroVgiL2aqSDptQZW+/+BexeIJFYWncj43AOSeqVwhb5GZ3Wpmh8ys1cx+amaLZqM4AMhVyWnP8uFkvKS1jVUajCW050jv5BsDQI6aylf/myT9QlKjpIWSbvOXAQDGse1gl4rDIa2sqwi6lBlz2gLvEtjbDnIZaQD5ayrhuM45d5NzLubfvi2pLsN1AUBO236wW6vrKxTJo+EHq+dXKhI2TsoDkNem8qndZmZvMbOwf3uLvBP0AADj2NbclVfjjSWpuMjrCeekPAD5bCrh+J2SXi+pRdJBSa+VxEl6ADCOQ90DausZzLtwLHlX+6PnGEA+mzQcO+eanHOvcs7VOefmO+deLek1s1AbAOSk7Xl02ejR1jZW6VD3oNp6BoMuBQAy4mQHw/3ljFYBAHnkif0dkvJrpoqk0xurJUlP7O8MuBIAyIyTDce5f7knAMiQLU0dWjW/QtWlkaBLmXFnLqpWyKQtTUeDLgUAMuJkw7Gb0SoAIE8457RlX4fOXlwTdCkZUV5SpDUNVXq0qSPoUgAgI8a9Qp6ZdWvsEGySSjNWEQDksL1H+tTeO6Rzls4JupSMOWdJjX7+WLPiCfpJAOSfcXuOnXOVzrmqMW6VzrlJLzsNAIXoUX+4wdlL8rPnWJLOXjJHPYMx7TzUE3QpADDj8md2egDIAo82HVVFSZFWz68MupSMOccP/ow7BpCPCMcAMIO2NHVo3eIahUP5e97y8nnlqimLjPSSA0A+IRwDwAzpG4rp6ZbuvB5SIUlmprMX12gLJ+UByEOEYwCYIVv3dyqecDpnSf6ejJd0zpI5evZQj3qHOSkPQH4hHAPADEkOM1iXp9O4pTrb/wLwXGc84EoAYGYRjgFghmxp6tCKeeWaU14cdCkZd9biaplJOzsSQZcCADOKcAwAM8A5py1NR7Uuz8cbJ1VGIzplfqV2EY4B5BnCMQDMgP1H+9XWM1QQ442Tzllao92dcSW4GAiAPEI4BoAZUAgX/xjt7MVz1Dss7W7rDboUAJgxhGMAmAF/2n1EldEiranP34t/jHbe8lpJ3nsHgHxBOAaAGXDfzjY9f8VcFYUL52N12dwy1UZN9+9sC7oUAJgxhfMpDgAZ0nSkT/va+3XJqnlBlzKrzEynzw3rgd1HFGfcMYA8QTgGgGm6f5fXc3rxqrkBVzL7TpsbVkffsLY1dwVdCgDMCMIxAEzT/TvbVF9VopV1FUGXMuvWzvX+G0l+QQCAXEc4BoBpSCSc/rjriC5eOU9mFnQ5s66mJKRT6isYdwwgbxCOAWAanm7pVnvvkC4qsPHGqS5aOU8P72nXwDCXkgaQ+wjHADANyR7TQhxvnHTJqnkaGE6MzPUMALmMcAwA03D/rjatqCvXgurSoEsJzAUrahUOmf64k/mOAeQ+wjEAnKShWEIP7m4vuCncRquMRnTWomrdx7hjAHmAcAwAJ+mxfR3qH47ropWFHY4l6eJV87R1f4e6BoaDLgUApoVwDAAn6d5nDytk0oUrCne8cdLFq+Yp4cTQCgA5j3AMACfprm2tWr+sVtVlkaBLCdy5S+eoujSiu7a1Bl0KAEwL4RgATsLeI716uqVbLz29IehSskIkHNKLTp2v3z3dqlg8EXQ5AHDSCMcAcBLufMrrIb18bX3AlWSPy0+vV0ffsB7a0x50KQBw0gjHAHAS7tzWorULqrS4tizoUrLGC0+pU0lRaOSLAwDkIsIxAKTpcPegHtl7VJefTq9xqrLiIr1gdZ3u2tYq51zQ5QDASSEcA0Cafre9Vc6J8cZjeOnp9TrQ0a+nmruCLgUATgrhGADS9JunWrS4tlSnNlQGXUrWedFp9QqZ10YAkIsIxwCQhp7BmO7feUSXr22QmQVdTtapLS/WectqGXcMIGcRjgEgDXc/c1hD8QRDKibw0tMb9Exrt/a09QZdCgCkjXAMAGm4fWuz5lUU69ylc4IuJWslT1S8fWtzwJUAQPoIxwAwRUd7h/Tb7a26ct1ChUMMqRjPojllumB5rX766AFmrQCQcwjHADBFt21t1nDc6epzFgVdSta7+txFeq6tV482dQRdCgCkhXAMAFN0y+b9WrugSmsbq4IuJeu94owFKo2Edcvm/UGXAgBpIRwDwBTsaO3W1v2duvpceo2noqKkSC9/XoNu39qsgeF40OUAwJRlLByb2bfM7JCZPZmpYwDAbPnp5v0qCpmuXNcYdCk54+pzF6l7IKY7tzGtG4Dckcme429LelkG9w8AsyIWT+jWLQe0Yc18zasoCbqcnHHhirlqrI7qpwytAJBDMhaOnXP3SGrP1P4BYLbcu7NNh7oH9dpzFwZdSk4JhUyvOWeR7n32sFq7BoIuBwCmxDI5zY6ZLZN0u3PueRNsc52k6ySpvr7+3Jtvvjlj9WSjnp4eVVRUBF1GzqC90kN7pW+sNvvqlgE90x7XlzeWKcIUbseZ7GespTehv723X69ZHdGrVhbPYmXZi9/L9NBe6aPNJrdx48bNzrn1Y60rmu1iRnPO3SDpBklav36927BhQ7AFzbJNmzap0N7zdNBe6aG90je6zfa192nLb/6g9166Ui+57NTgCstSU/kZu6PlQd3X0q1/vfaFKi7iPHB+L9NDe6WPNpsePqUAYAI33b9HITNde+GyoEvJWe+6ZLkOdQ9yxTwAOYFwDADj6B4Y1o8f2ac/O3OBGqqjQZeTsy49pU6r5lfoxvue44p5ALJeJqdy+6GkByStMbP9ZvauTB0LADLhx4/sV89gTO+8eHnQpeQ0M9M7Ll6mp5q79NBznKcNILtlcraKNznnFjjnIs65Rc65GzN1LACYafGE07f/+JzWL52jsxbXBF1OznvN2YtUUxbRjfc9F3QpADAhhlUAwBju2taife39etcl9BrPhNLisK65YInu2t6qvUd6gy4HAMZFOAaAUZxz+p+7d2vRnFJdfnpD0OXkjbdduExFIdP19+wOuhQAGBfhGABG+e32Q3p8X4c+uHGVwsxrPGPqq6J6w3mL9eOH96npSF/Q5QDAmAjHAJAi4Zy+eOczWja3TFefuyjocvLOhy5brXDI9JXfPRt0KQAwJsIxAKR4uCWup1u69ZGXnKJImI/ImVZfFdXbLlyqW7fs185D3UGXAwAn4JMfAHyxeEK37hzSKfUVuuLMxqDLyVvvu3SlSiNhffm39B4DyD6EYwDw3brlgFp6nf7yJWsYa5xBcytK9M5LluuOrQf1VHNn0OUAwHEIxwAgqWcwpi/euUPLq0J66en1QZeT9979ghWqLo3oM7dv56p5ALIK4RgAJP3n755VS9eArjmtWGb0GmdadWlEH33pGj2w+4h+8Xhz0OUAwAjCMYCCt6O1W9+67zm9Yf1irZoTDrqcgvHm85fozEXV+pc7tqt7YDjocgBAEuEYQIFzzunv/+9JVUSL9DcvPzXocgpKOGT65yufp8M9g/ryXZycByA7EI4BFLRbtxzQQ8+1669feqpqy4uDLqfgnLW4Rm86f4m+/cfntK25K+hyAIBwDKBwHeoa0D/fvk1nLa7RG89bHHQ5BeuvX7pGNWXF+uufPq6hWCLocgAUOMIxgILknNNHb9mq/uG4vvi6sxRi6rbA1JQV67NXnaEnD3TpP367I+hyABQ4wjGAgvSdB/bqnh2H9XevOE2r5lcEXU7Be9nzGvSG9Yv1P3fv0kPPtQddDoACRjgGUHCebe3WZ3+5XRvX1Oktz18adDnw/eMr12pJbZk+8qPH1MXsFQACQjgGUFD6hmL60A+3qKKkSP/+2rOY0ziLlJcU6ctvWKeWrgF9/GdPcHEQAIEgHAMoGM45fewnW/VMa7e++PqzVFdZEnRJGOWcJXP00cvX6I6tB/Xfm3YFXQ6AAkQ4BlAwvvaHnbrjiYP625edqg1r5gddDsbxvktX6FVnNeoLdz6j321vDbocAAWGcAygINy1rVVfuHOHXr2uUde9cEXQ5WACZqZ/u/pMnd5YpQ/f/Jh2HuoOuiQABYRwDCDvPdp0VB++eYvOWFitf736TMYZ54DS4rCuf+t6RSMhvf2mh9XSORB0SQAKBOEYQF57uqVLb//WQ5pXUaIbr12vaCQcdEmYooU1pbrx2vN0tHdIb7nxQbX3DgVdEoACQDgGkLf2tPXqrTc+pNLisL7/7gs0vyoadElI01mLa/TNa89TU3uf3n7TQ+pmijcAGUY4BpCX9rT16ppvPqhYPKHvvesCLa4tC7oknKQLV87V/1xzjrY1d+kdNz3MHMgAMopwDCDvbD/Ypdd+/QH1DcX03XddoNX1lUGXhGl60Wn1+sobz9Zj+zr0phv+pLaewaBLApCnCMcA8srmvUf1husfUFHI9JP3XajnLawOuiTMkD87c4G+ce167Trco9d//QEd6OgPuiQAeYhwDCBv3LH1oK755p9UW16sW95/oVbNp8c432xcM1/ffdcFOtwzqNf89/16fF9H0CUByDOEYwA5L5Fw+tKdz+gDP3hUpzdW6yfvu0iL5jDGOF+dt6xWP37vhSoKhfT66x/Qzx87EHRJAPII4RhATuvsH9b7vrdZ//n7nXr9+kX6wXsu4LLQBeC0BVX6xQcv1lmLa/Thmx/T5365XcPxRNBlAcgDhGMAOeuRPe16xVfu1e+fPqR/vGKt/u3qM1VSxDzGhWJuRYm+964L9JbnL9H19+zW677+gJqO9AVdFoAcRzgGkHOG4wn9x2936PXXP6BwyHTL+y/SOy9ZzpXvClBxUUifefUZ+q83n61dh3v0iv+8V7du2S/nXNClAchRRUEXAADp2Lq/Q3/z0ye0/WCXrjp7oT595emqjEaCLgsBu+LMRq1bXKO/uPkxfeRHj+u2xw/qn1/9PC2sKQ26NAA5hp5jADmhZzCmz9y+Ta/+2v060jOor7/lXH35DesIxhixaE6ZfvTeC/UPV6zVA7uO6PIv3a2b7n9OMcYiA0gDPccAslo84XTL5n36/G92qK1nUNdcsER/8/JTVUUoxhjCIdO7Llmuy9fW6+//70l96rZt+sGDTfr7K9bq0lPqgi4PQA4gHAPISs45bdpxWJ//9TPadrBL5y6doxuvXa+zFtcEXRpywOLaMn37Hefprm2t+pdfbte133pIG9bU6aOXr+HCMAAmRDgGkFWcc7pvZ5u+dNcObWnq0KI5pfrqm87WFWcu4IQ7pMXMdPnpDbp0TZ3+94979LU/7NIVX71PLz29Xn/x4lN02oKqoEsEkIUIxwCyQiye0K+ebNE37t2trfs71Vgd1WevOkOvPXeRios4PQInr6QorOteuFJvPH+JvnXfc7rx3uf0m6fu1cY1dbruhSv1/BW1fPECMIJwDCBQ7b1D+skj+/TdP+3V/qP9Wj6vXP9y1fP02nMXMWcxZlRVNKK/ePEpesdFy/XtP+7Rdx7Yozd94086Y2G13nbhUr3yrEZFI/zMAYWOcAxg1iUSTg/tadePHt6nO544qKFYQuctm6N/uGKtXnJavUIhevGQOdVlEX34xav13ktX6GePHtCN9+3Wx27Zqs/csV2vPXeRXnPOQq1dUEVvMlCgCMcAZoVzTjsP9ei2x5v1sy0HtP9ovypKivTG8xbrmguWak1DZdAlosBEI2G9+YIletP5i/Wn3e36/oN79Z0H9ujG+57TqvkVuvKsRr1qXaOWzi0PulQAs4hwDCBjnHPaur9Tv36qRb95qkW7D/cqZNLFq+bpYy9do8vXNqi0mD9jI1hmpgtXztWFK+fqaO+QfvnkQf18S7O+eNcOffGuHVq3uEZXrmvU5ac3cFERoAAQjgHMqP6huB7e067fP31Idz7VoubOAYVDpgtXzNU7Ll6ul66t1/yqaNBlAmOaU16say5YqmsuWKoDHf267fFm/fyxZn3qtm361G3btKa+UhtOrdPGNfN17tI5ioQ5WRTIN4RjANMSTzg9caBT9+9s033Ptmnz3qMaiidUUhTSC0+p019dvkYvOm2+asqKgy4VSMvCmlK979KVet+lK7XzUI/+8PQh/eGZQ7rx3ud0/d27VRkt0gtX1+miVXN1wfJarayrYJwykAcIxwDS0jsY0+P7O7SlqUOP7j2qh/a0q3sgJklau6BK1160VBevmqfzl9eqrJiPGOSHVfMrtGp+hd7zwhXqHhjW/TuP6A9PH9KmHYd0xxMHJUlzy4t13rJanb/cu522oEphTi4Fcg7/cwEY11AsoWcPdeup5i49vq9DjzZ16JmWLiWct35lXbn+7IwFunjVPF20cq7mVpQEWzAwCyqjEb3seQ162fMa5JzT3iN9eui5dj34XLse2nNEv36qRZJUGgnr9MYqnbGoWmcuqtYZC2u0Yh4n9wHZjnAMQM45He4e1M5DPdre0q1tzV3adrBLOw91azjuJeHKkiKtW1Kjl1y2WucsqdG6xTUMlUDBMzMtm1euZfPK9frzFkuSmjv69fCedj22r0NP7O/UDx9q0k33JyRJFSVFaixL6K6jT2hNQ6XW1FdqTUMlv0tAFiEcAwWkfyiufUf7tPdIn3Yf7tHOQz3a6d8nh0ZI0vzKEq1trNLGNXVa21iltQuqtGxuOfMPA1PQWFOqK9ct1JXrFkryrv6463Cvtu7v0Nb9nXrwmX36xePN6n7w+N+51fUVWja33LvNK9eyuWVaXFvGhUmAWUY4BvJILJ7Qoe5B7WvvU1N7n+59dkg/b31MTf7zw92Dx21fV1miVXUVevW6hVpZV65V871erLpKhkcAM6UoHPJ6iRsq9br1i7VpU5suvfRStXYN6umWLu1o7dbTLd3afbhXdzxxUB19wyOvNZMaq0u1dG6Zls0r19LaMjX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+ ' cm-1')\n","\n","figure(figsize=(12,6))\n","plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n","grid()\n","xlabel('Wavenumber')\n","ylabel('Absorption (m2)')\n","title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n","\n","k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n","print('Absorption Coefficient is: ', k, ' m2')"]},{"cell_type":"markdown","metadata":{},"source":["## Absorption at 700 cm-1"]},{"cell_type":"code","execution_count":8,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":"Absorption Coefficient is:  1.3057407684890293e-33  m2\n"},{"data":{"image/png":"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about the line position at 667 cm-1\n","line = 1\n","dwn = 1.\n","wn  = np.arange(hitran.iloc[line].vij-dwn, hitran.iloc[line].vij+dwn, 0.01)\n","fL  = (1./np.pi) * hitran.iloc[line].G / (hitran.iloc[line].G**2 + (wn - hitran.iloc[line].vij)**2)\n","\n","figure(figsize=(12,6))\n","plot(wn,fL)\n","grid()\n","xlabel('Wavenumber')\n","ylabel('Lorentz Line Profile')\n","title('Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n","\n","figure(figsize=(12,6))\n","plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n","grid()\n","xlabel('Wavenumber')\n","ylabel('Absorption (m2)')\n","title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n","\n","k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n","print('Absorption Coefficient is: ', k, ' m2')"]},{"cell_type":"markdown","metadata":{},"source":["## Absorption at 800 cm-1"]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":"Absorption Coefficient is:  2.6630093135455274e-30  m2\n"},{"data":{"image/png":"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cm-1')\n","\n","figure(figsize=(12,6))\n","plot(wn,hitran.iloc[line].Sij * fL / 1e4)\n","grid()\n","xlabel('Wavenumber')\n","ylabel('Absorption (m2)')\n","title('Absorption line of Carbon Dioxide at ' + str(hitran.iloc[line].vij) + ' cm-1')\n","\n","k = np.trapz(hitran.iloc[line].Sij * fL / 1e4, wn)\n","print('Absorption Coefficient is: ', k, ' m2')"]},{"cell_type":"code","execution_count":null,"metadata":{},"outputs":[],"source":[]}],"nbformat":4,"nbformat_minor":2,"metadata":{"language_info":{"name":"python","codemirror_mode":{"name":"ipython","version":3},"version":"3.7.3"},"orig_nbformat":2,"file_extension":".py","mimetype":"text/x-python","name":"python","npconvert_exporter":"python","pygments_lexer":"ipython3","version":3}}